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Finding the Third Proportional to 233,215 and 360,129

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Solution

The third proportional to 233,215 and 360,129 is: 556,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,215 : 360,129 = 360,129 : x
  2. Step 2: Convert to fraction form
    233,215/360,129 = 360,129/x
  3. Step 3: Cross multiply
    233,215x = 360,129 × 360,129
  4. Step 4: Simplify right side
    233,215x = 129,692,896,641
  5. Step 5: Solve for x
    x = 129,692,896,641/233,215
  6. Step 6: Final answer
    x = 556,108.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.